eigenfunction การใช้

• So \ psi _ 0 is an eigenfunction of the Hamiltonian.
• This method ( perturbative determination of the principal eigenfunction, cf.
• The resulting eigenfunction expansion expresses the function as a series of the form
• An eigenfunction on a finite edge may be written as
• For example, I looked up eigenfunction, and there are no articles.
• Which is an eigenfunction of the Laplacian ? " A ".
• Thus the eigenfunction " v " satisfies
• Then is an eigenfunction with eigenvalue \ lambda.
• There is still an associated eigenfunction expansion ( similar to Fourier series versus Fourier transform ).
• The reason for this is that the exponential function is the eigenfunction of the operation of differentiation.
• Finding the Hartree Fock one-electron wave functions is now equivalent to solving the eigenfunction equation:
• If you look at the Wikipedia article on eigenfunction, it's a very technical explanation.
• The Hartree Fock wavefunction is an important example of an approximate eigenfunction that still satisfies the Hellmann Feynman theorem.
• To properly consider this function as an eigenfunction requires some way of stepping outside the strict confines of the Hilbert space theory.
• These additional labels required naming of a unique energy eigenfunction and are usually related to the constants of motion of the system.
• The twin subjects of eigenfunction expansions and functional decomposition, both briefly alluded to in this Wikipedia article, are not completely independent.
• Stationary states of this equation are found by solving the eigenvalue-eigenfunction ( time-independent ) form of the Schr鰀inger equation,
• Each propagation mode of the waveguide is known as an eigenfunction solution ( or eigenmode solution ) to Maxwell's equations in the waveguide.
• This was supplied by the apparatus of Schwartz distributions, and a " generalized eigenfunction " theory was developed in the years after 1950.
• This eigenfunction gives the probability of the occurrence of a given integer in a continued fraction expansion, and is known as the Gauss Kuzmin distribution.